2018/10/31 by Alejandro Cabo-Bizet, Davide Cassani, Dario Martelli +1 · 4 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep10(2019)062
v4: minor changes, version published in JHEP
arxiv created 2019/11/05 · arxiv updated 2020/01/08
We present a holographic derivation of the entropy of supersymmetric asymptotically AdS5 black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. We show that in this limit the black hole entropy is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a constraint. This constraint follows from supersymmetry and regularity in the Euclidean bulk geometry. Further, we calculate, using localization, the exact partition function of the dual N=1 SCFT on a twisted S1× S3 with complexified chemical potentials obeying this constraint. This defines a generalization of the supersymmetric Casimir energy, whose Legendre transform at large N exactly reproduces the Bekenstein-Hawking entropy of the black hole.